Misc 6 Below are given the measures of certain sides and angles of triangles. Identify those which cannot be constructed and, say why you cannot construct them. Construct rest of the triangles.
In a triangle,
Sum of two Sides > Third Side
Here,
Sum of two sides is always greater than third side
∴ Δ PQR is possible
Let’s construct it
We follow these steps
Steps of construction
1. Draw a line segment PQ of length 3.5 cm
2. Taking 3.5 cm as radius,
and P as center,
draw an arc.
3. Taking 4 cm as radius,
and Q as center,
draw another arc.
Let R be the point where the two arcs intersect
Join PR and QR
and label the sides
Thus, Δ PQR is the required triangle